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12242432105 = 517415379839
BaseRepresentation
bin10110110011011010…
…01011000001101001
31011121012021222200022
423121231023001221
5200033030311410
65342445450225
7612243645611
oct133155130151
934535258608
1012242432105
115212596492
122457b70975
131201457687
14841cc7a41
154b9bac455
hex2d9b4b069

12242432105 has 64 divisors (see below), whose sum is σ = 16460236800. Its totient is φ = 8701255680.

The previous prime is 12242432101. The next prime is 12242432107. The reversal of 12242432105 is 50123424221.

12242432105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12242432105 - 22 = 12242432101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12242432101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14591276 + ... + 14592114.

It is an arithmetic number, because the mean of its divisors is an integer number (257191200).

Almost surely, 212242432105 is an apocalyptic number.

It is an amenable number.

12242432105 is a deficient number, since it is larger than the sum of its proper divisors (4217804695).

12242432105 is a wasteful number, since it uses less digits than its factorization.

12242432105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12242432105 its reverse (50123424221), we get a palindrome (62365856326).

The spelling of 12242432105 in words is "twelve billion, two hundred forty-two million, four hundred thirty-two thousand, one hundred five".

Divisors: 1 5 17 41 53 79 85 205 265 395 697 839 901 1343 2173 3239 3485 4187 4195 4505 6715 10865 14263 16195 20935 34399 36941 44467 55063 66281 71179 71315 171667 171995 184705 222335 275315 331405 355895 584783 755939 858335 1126777 1823147 2717521 2918339 2923915 3512893 3779695 5633885 9115735 13587605 14591695 17564465 30993499 46197857 59719181 144028613 154967495 230989285 298595905 720143065 2448486421 12242432105